한 수학영재아의 수학적 사고 특성에 관한 사례연구

A Case Study on Mathematical Thinking Characteristics of a Gifted Child

본 연구는 수학 영재에게서 나타나는 수학적 사고의 특성을 밝히기 위한 목적으로 초등학교 3학년에 재학 중인 한 수학 영재아(남학생)를 1년 6개월에 걸쳐 관찰 및 면접한 결과를 분석한 사례연구이다. 본 연구에서는 수학적 사고, 수학적 태도, 수학적 성향, 인지 발달, 수학적 의사소통 측면에서 보여준 주된 특징들을 기술하고 있다. 이 결과가 모든 학생들에게 일반화될 수는 없겠지만, 본 논문에서는 수학 영재 교육의 교육과정, 선발, 교수-학습 자료 개발, 교수법, 교사 양성의 각 부분에 주는 시사점도 제언하고 있다.

The purpose of this study is to identify the significant characteristics shown in the field of mathematics by a gifted child, the educational curriculum for this child, and to find what has to be set in place in the areas of teacher's teaching methods and programs. The important aspect of these ideas is that one has to completely understand and know the characteristics of the gifted in order to give them the opportunity to discover their underlying talents and to develop upon those skills by giving them suitable and appropriate education for their intellectual state. This study focuses on the thoughts and behavior of a gifted male child, from his third to fifth grade, and the study shows the results and analysis of data gathered from close observation and interview, and a collection of documents gathered from the child. This study is analyzed from three different perspectives: 1. The typical life and surroundings of this gifted child, and how he was raised in this particular environment. This also shows the significant event that allowed others to recognize him as gifted. 2. Identification of how a gifted child's mind works in the field of mathematics. This attempts to analyze methods the child uses to arrive at a solution to a problem. 3. Exploration of mathematical attitude of the child. This shows the child's interest in mathematics, and the willingness to find better and more efficient ways to reach a solution. This also shows the child's ability to explain his purpose and methods of problem solving in detail, and the focus and clarity in communication of mathematics. This study will enlighten the readers with information on the importance of advanced education specifically designed for the gifted. In development of advanced education programs, it is necessary to comprehend the minds of the mathematically gifted, and furthermore, this will help in defining an appropriate teaching method and curriculum for a better equipped educational system.